circle_bundles.get_local_pca

circle_bundles.get_local_pca(data, U, *, f=None, to_view=None, n_components=2, n_cols=3, titles='default', font_size=16, point_size=10.0, cmap='hsv', show_colorbar=False, save_path=None, show=True)

Compute and plot local PCA embeddings for fibers of a cover.

Each fiber j is plotted using:

data[U[j]] (points) f[j, U[j]] (colors, if provided)

If f is provided and show_colorbar=True, a single shared colorbar with range [0, 2π] is added in a dedicated GridSpec column (so subplots don’t get squashed).

Returns:

Matplotlib figure and flat list of axes.

Return type:

fig, axes

Parameters:

• data (ndarray)

• U (ndarray)

• f (ndarray | None)

• to_view (Sequence[int] | None)

• n_components (int)

• n_cols (int)

• titles (str | Sequence[str] | None)

• font_size (int)

• point_size (float)

• cmap (str)

• show_colorbar (bool)

• save_path (str | None)

• show (bool)